Answer:
David find <u>8</u> quarters.
Step-by-step explanation:
Given:
David was in need for some money so he decided to clean out the water fountain at the mall he found 20 nickels and quarters.
The collection of nickels and quarters totaled to 2.6.
Now, to find the quarters David find.
Let the number of nickels be 
And the number of quarters be 
Thus, the number of nickels and quarters he found:
⇒ 
.........( 1 )
The totaled of nickels and quarters:
(As 1 nickel=$0.05 and 1 quarter=$0.25)
Now, putting the equation ( 1 ) in the place of we get:
⇒ 
⇒ 
<em>Subtracting both sides by 1 we get:</em>
⇒ 
<em>Dividing both sides by 0.20 we get:</em>
⇒ 
So, the quarters = 8.
Therefore, David find 8 quarters.
Answer:
40
Step-by-step explanation:
It’s same as <5
Okay, just break it up so you're not overwhelming yourself or anything :)
So here, do it in steps-
Let's do 5(3 + t) first:
Distribute the 5, or in non-mathematical terms, just multiply 5 by 3 and t. This will give you 15 + 5t.
Now onto -3(t + 1):
Again, just multiply -3 by t and 1. This will come out to: -3t - 3.
*Note: the 3 is negative because it's "MINUS 3" in the original equation and remember that any number times a negative, if it isn't negative itself, will turn out to be negative.... (aka "-" x "-" = "+" | "+" x "+" = "+" | "-" x "+" = "-")*
ANYWAY
Now just put both answer together and you get:
15 + 5t -3t - 3. You can only add and minus the LIKETERMS (which are the things that are the same) - in this case, the liketerms are 15 and -3 ,,,, AND 5t and -3t.
15 - 3 = 12
5t - 3t = 2t
12 + 2t is your final answer. Hope that helps! :)
Tan 2x - cot x = 0
2tan x / (1 - tan^2 x) - 1/tan x = 0
2tan^2 x - (1 - tan^2 x) = 0
2tan^2 x - 1 + tan^2 x = 0
3tan^2 x - 1 = 0
tan^2 x = 1/3
tan x = + or - 1/√3
Answer:
The top choice
Step-by-step explanation:
1/2 x -2 > 0
Add 2 to each side
1/2 x -2+2 > 0+2
1/2 x > 2
Multiply each side by 2
1/2 x *2 > 2*2
x > 4
There is an open circle at 4 and the line goes to the right
